Theorems · Theorem · logic and foundations
FirstOrder.Language.Structure.FG.range
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {N : Type u_2} [inst_1 : L.Structure N],
FirstOrder.Language.Structure.FG L M → ∀ (f : L.Hom M N), f.range.FG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructureproof · cited by 242
- FirstOrder.Language.Homstatement and proof · cited by 107
- FirstOrder.Language.Substructure.FGstatement and proof · cited by 34
- FirstOrder.Language.Hom.rangestatement · cited by 30
- FirstOrder.Language.Structure.FGstatement and proof · cited by 27
- FirstOrder.Language.Hom.range_eq_mapproof · cited by 7
- FirstOrder.Language.Structure.fg_defproof · cited by 6
- FirstOrder.Language.Substructure.FG.mapproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- FirstOrder.Language.age.jointEmbeddingproof · cited by 2
- FirstOrder.Language.IsUltrahomogeneous.extend_embeddingproof · cited by 2
- FirstOrder.Language.Structure.FG.map_of_surjectiveproof · cited by 1
- FirstOrder.Language.age_directLimitproof · cited by 1
- FirstOrder.Language.empty.isFraisseLimit_of_countable_infiniteproof · cited by 1
- FirstOrder.Language.IsUltrahomogeneous.amalgamation_ageproof · cited by 1
- FirstOrder.Language.age.has_representative_as_substructureproof · cited by 0